Points in the Coordinate Plane

Student Summary

Just as the number line can be extended to the left to include negative numbers, the xx- and yy-axes can also be extended to include negative values. This creates the coordinate plane, a system that can be used to describe the locations of points.

Coordinate plane, x and y axis, origin O, points marked and labeled. A = (2 comma 3), B = (negative 4 comma 1), C = (negative 3 point 5 comma negative 3).

For example, point BB can be described by the ordered pair (-4,1)(\text-4,1). The xx-value of -4 tells us that the point is 4 units to the left of the yy-axis. The yy-value of 1 tells us that the point is 1 unit above the xx-axis. Point BB is located in Quadrant II.

The same reasoning applies to the points AA and CC. The xx- and yy-coordinates for point AA are positive, so AA is to the right of the yy-axis and above the xx-axis. Point AA is located in Quadrant I.

The xx- and yy-coordinates for point CC are negative, so CC is to the left of the yy-axis and below the xx-axis. Point CC is located in Quadrant III.

Quadrant IV contains points whose xx-coordinates are positive and whose yy-coordinates are negative.

Visual / Anchor Chart

Standards

Building On
5.G.1

5.G.A.1

Addressing
6.NS.6.b

6.NS.6.c

6.NS.C.6.b

6.NS.C.6.c

6.NS.8

6.NS.C.8

Building Toward
6.NS.6

6.NS.8

6.NS.C.6

6.NS.C.8